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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 8: Nếu a ² – 2a + b ² + 4b + 4c ² – 4c + 6 = 0 thì : A. a= -1 ; b=2 ; c=1/2 B. a=1 ; b=-2 ; c=1/2 C. a=1 ; b=2 ; c=1/2 D. a=-1 ; b=-2 ; c=

Toán Lớp 8: Nếu a ² – 2a + b ² + 4b + 4c ² – 4c + 6 = 0 thì :
A. a= -1 ; b=2 ; c=1/2
B. a=1 ; b=-2 ; c=1/2
C. a=1 ; b=2 ; c=1/2
D. a=-1 ; b=-2 ; c=1/2

Comments ( 2 )

  1. a^2 – 2a + b^2 + 4b + 4c^2 – 4c + 6 = 0
    <=>a^202a+1+b^2+4b+4+4c^2-4c+1=0
    <=>(a-1)^2+(b+1)^2+(2c-1)^2=0
    Vì :
    (a-1)^2>=0AA x
    (b+1)^2>=0AA x
    (2c-1)^2>=0AA x
    Nên (a-1)^2+(b+1)^2+(2c-1)^2>=0AA x
    Mà (a-1)^2+(b+1)^2+(2x-1)^2=0
    Ta có:
    {(a-1=0),(b+2=0),(2c-1=0):}
    <=>{(a=1),(b=-2),(c=1/2):}
    Vậy a=1;b=-2;c=1/2
    ->B

  2. Gửi bạn:
    $a^2-2a+b^2+4b+4c^2-4c+6=0$
    $(a^2-2a+1)+(b^2+4b+4)+(4c^2-4c+1)=0$
    $(a-1)^2+(b+2)^2+(2c-1)^2=0$
    $⇒$ $\begin{cases} a-1=0\\b+2=0\\2c-1=0 \end{cases}$
     $⇒$ $\begin{cases} a=1\\b=-2\\c=\dfrac{1}{2} \end{cases}$
    $⇒$ $B$

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222-9+11+12:2*14+14 = ? ( )